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Sections: PhysicsChemistryMathematics
Q1. Physics
The speed of sound is maximum in:
A. Air
B. Water
C. Steel
D. Vacuum
Correct Answer: C
Sound travels fastest in solids (steel ~5000 m/s) due to close molecular arrangement.
Q2. Physics
The photon energy of light with wavelength 500 nm is (h = 6.63 x 10 Js):
A. 2.48 x 10 J
B. 3.98 x 10 J
C. 1.99 x 10 J
D. 4.97 x 10 J
Correct Answer: B
E = hc/ = (6.63x10 x 3x10)/(500x10) = 3.98x10 J.
Q3. Mathematics
The value of x^2 dx is:
Correct Answer: C
x^2 dx = [x/3] = 1/3 - 0 = 1/3.
Q4. Physics
The de Broglie wavelength of an electron moving with velocity v is . If velocity is doubled, wavelength becomes:
Correct Answer: B
= h/p = h/(mv). If v doubles, ' = h/(m.2v) = /2.
Q5. Chemistry
How many moles of O are required for complete combustion of 1 mole of CH?
Correct Answer: C
CH + 6.5O -> 4CO + 5HO. So 6.5 moles of O are needed.
Q6. Mathematics
The solution of 2x + 3 = 7 is:
Correct Answer: B
2x = 4 -> x = 2.
Q7. Chemistry
The number of valence electrons in carbon is:
Correct Answer: C
Carbon (Z=6) has electronic configuration 2,4 -> 4 valence electrons.
Q8. Physics
A capacitor of 10 F is charged to 100 V. The energy stored is:
A. 0.05 J
B. 0.05 J
C. 0.5 J
D. 5 J
Correct Answer: B
E = 1/2CV^2 = 1/2 x 10x10 x 100^2 = 0.05 J.
Q9. Chemistry
Which of the following elements is liquid at room temperature?
A. Sodium
B. Mercury
C. Gold
D. Silver
Correct Answer: B
Mercury (Hg) and bromine (Br) are the only elements liquid at room temp.
Q10. Physics
A particle is moving with velocity v = 2t^2 + 3t. Find its acceleration at t = 2s.
A. 11 m/s^2
B. 10 m/s^2
C. 8 m/s^2
D. 14 m/s^2
Correct Answer: A
a = dv/dt = d(2t^2 + 3t)/dt = 4t + 3. At t = 2: a = 4(2) + 3 = 11 m/s^2.
Q11. Chemistry
The IUPAC name of CHCHCH(CH)COOH is:
A. 2-Methylbutanoic acid
B. 2-Methylbutanoic acid
C. 3-Methylbutanoic acid
D. Pentanoic acid
Correct Answer: B
Longest chain has 4 C with COOH at C1 and methyl at C2 -> 2-Methylbutanoic acid.
Q12. Physics
The phenomenon of splitting of white light into its components is called:
A. Reflection
B. Refraction
C. Dispersion
D. Diffraction
Correct Answer: C
Dispersion is the splitting of white light into its constituent colors (VIBGYOR).
Q13. Mathematics
The value of 5! is:
Correct Answer: C
5! = 5x4x3x2x1 = 120.
Q14. Mathematics
The equation of line with slope 2 passing through (1, 3) is:
A. y = 2x + 1
B. y = 2x + 1
C. y = 2x - 1
D. y = x + 2
Correct Answer: B
Point-slope form: y - 3 = 2(x - 1) -> y = 2x + 1.
Q15. Mathematics
Find the derivative of f(x) = sin(x^2).
A. cos(x^2)
B. 2x cos(x)
C. 2x cos(x^2)
D. x^2 cos(x^2)
Correct Answer: C
Using chain rule: d/dx[sin(x^2)] = cos(x^2) . d/dx(x^2) = 2x cos(x^2).